TECHNICAL PAPERS
Sep 1, 1998

Triaxial Composite Model for Basic Creep of Concrete

Publication: Journal of Engineering Mechanics
Volume 124, Issue 9

Abstract

This paper shows how the mechanics of elastic composite materials can be adapted to predict the basic creep of concrete with aging due to hydration. The prediction is made on the basis of the given composition of concrete, the elastic constants of the aggregate, and the aging viscoelastic properties of the portland cement mortar. The triaxial action of the composite is approximated by Dvorak's transformation field analysis. To convert the aging creep problem to an elastic problem of a composite material with inelastic strains, Granger and Bažant's approach is used. This approach relies on Bažant's age-adjusted effective modulus method that reduces the integral-type stress-strain relation for linear aging creep with nonconvolution kernel to a quasi-elastic incremental stress-strain relation with inelastic incremental strain. Explicit expressions for the aging creep properties of concrete as a composite are deduced. The model is calibrated and verified by Ward et al.'s and Counto's test data. The predictions obtained are almost as close as those recently obtained by Granger and Bažant's model. While the present model has the advantage of describing the triaxial composite action in a rational manner, it does not yet capture the effect of the deviation of the aggregate configuration from the case of a contiguous aggregate skeleton of maximum possible compactness. Further refinements in this respect are needed. Another refinement might be needed to take into account possible enhancement of creep in the interface layers between the mortar and the aggregate.

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References

1.
Anson, M., and Newman, K.(1966). “The effect of mix proportions and the method of testing on Poisson's ratio for mortars and concretes.”Mag. of Concrete Res., 18, 115–130.
2.
Bažant, Z. P.(1972a). “Prediction of concrete creep effects using age-adjusted effective modulus method.”Am. Concrete Inst. J., 69, 212–217.
3.
Bažant, Z. P.(1972b). “Numerical determination of long-range stress history from strain history in concrete.”Mat. and Struct., Paris, France, 5, 135–141.
4.
Bažant, Z. P., ed. (1988). Mathematical modeling of creep and shrinkage of concrete. John Wiley & Sons, Inc., Chichester and New York.
5.
Bažant, Z. P., and Baweja, S. (1994). “Creep and shrinkage prediction model for analysis and design of concrete structures—model B3.”Struct. Engrg. Rep. 94-10/603c, Northwestern Univ.; also Mat. and Struct., Paris, France, 28 (1995), 357–365, 415–430, 488–495.
6.
Bažant, Z. P., and Chern, J.-C.(1985). “Log-double power law for concrete creep.”AM. Concrete Inst. J., 82, 665–675.
7.
Bažant, Z. P., Hauggaard, A. B., Baweja, S., and Ulm, F.-J.(1997a). “Microprestress-solidification theory for concrete creep. I: Aging and drying effects.”J. Engrg. Mech., ASCE, 123(11), 1188–1194.
8.
Bažant, Z. P., Hauggaard, A. B., and Baweja, S.(1997b). “Microprestress-solidification theory for concrete creep. I: Algorithm and verification.”J. Engrg. Mech., ASCE, 123(11), 1195–1201.
9.
Bažant, Z. P., and Kim, S. S.(1979). “Approximate relaxation function for concrete.”J. Struct. Div., ASCE, 105, 2695–2705.
10.
Bažant, Z. P., and Najjar, L. J.(1972). “Nonlinear water diffusion in nonsaturated concrete.”Mat. and Struct., Paris, France, 5, 3–20.
11.
Bažant, Z. P., and Prasannan, S.(1989a). “Solidification theory for concrete creep. I: Formulation.”J. Engrg. Mech., ASCE, 115(8), 1691–1703.
12.
Bažant, Z. P., and Prasannan, S.(1989b). “Solidification theory for concrete creep. II: Verification and application.”J. Engrg. Mech., ASCE, 115(8), 1704–1725.
13.
Bažant, Z. P., and Xi, Y.(1994). “Drying creep of concrete: Constitutive model and new experiments separating its mechanisms.”Mat. and Struct., Paris, France, 27, 3–14.
14.
Benveniste, Y.(1987). “A new approach to the application of Mori-Tanaka's theory in composite materials.”Mech. Mat., 6, 147–157.
15.
Boucher, S.(1974). “On the effective moduli of isotropic two-phase elastic composites.”J. Composite Mat., 8, 82–89.
16.
Carol, I., and Bažant, Z. P.(1993). “Viscoelasticity with aging caused by solidification of nonaging constituent.”J. Engrg. Mech., ASCE, 119(11), 2252–2269.
17.
Christensen, R. M., and Lo, K. H.(1979). “Solution for effective shear properties in three phase sphere and cylinder models.”J. Mech. Phys. Solids, 27, 315–330.
18.
Counto, U. J.(1964). “The effect of the elastic modulus of the aggregate on the elastic modulus, creep and creep recovery of concrete.”Mag. of Concrete Res., 16(48), 129–138.
19.
de Larrard, F., and Le Roy, R. (1992). “Relation entre formulation et quelques propriétés mécaniques des bétons à hautes performances.”Mat. and Struct., Paris, France, 25, 464–475 (in French).
20.
Dougill, J. W.(1962). “Discussion of `Modulus of elasticity of concrete affected by moduli of cement paste matrix and aggregate' by T. J. Hirsch.”Proc., Am. Concrete, 59(9), 1363–1365.
21.
Dvorak, G. J. (1990). “On uniform fields in heterogeneous media.”Proc., Royal Soc., London, England, A431, 89–110.
22.
Dvorak, G. J. (1992). “Transformation field analysis of inelastic composite materials.”Proc., Royal Soc., London, England, A437, 311–327.
23.
Dvorak, G. J., and Benveniste, Y. (1992). “On transformation strains and uniform fields in multiphase elastic media.”Proc., Royal Soc., London, England, A437, 291–310.
24.
Granger, L., and Bažant, Z. P. (1995). “Effect of composition on basic creep of concrete and cement paste.”J. Engrg. Mech., ASCE, 121.
25.
Hansen, T. C. (1960). “Creep of concrete: The influence of the variations in the humidity of ambient atmosphere.”Proc., 6th Congr. of Int. Assn. of Bridge and Struct. Engrg., 57–65.
26.
Hashin, Z.(1962). “The elastic modulus of heterogeneous materials.”J. Appl. Mech., 29, 143–150.
27.
Hashin, Z.(1983). “Analysis of composite materials—a survey.”J. Appl. Mech., 50, 481–505.
28.
Hill, R.(1965). “A self consistent mechanics of composite materials.”J. Mech. Phys. Solids, 13, 213–222.
29.
Hirsch, T. J.(1962). “Modulus of elasticity of concrete affected by modulii of cement paste matrix and aggregate.”Proc., Am. Concrete Inst., 59, 427–451.
30.
Laws, N., and McLaughlin, R. (1978). “Self consistent estimates for the viscoelastic creep compliances of composite materials.”Proc., Royal Soc., London, England, A359, 251–273.
31.
McLaughlin, R.(1977). “A study of the differential scheme for composite materials.”Int. J. Engrg. Sci., 15, 237.
32.
Mori, J., and Tanaka, K.(1973). “Average stress in matrix and average elastic energy of materials with misfitting inclusions.”Acta Metal., 21, 571.
33.
Neville, A. M., Dilger, W. H., and Brooks, J. J. (1983). Creep of concrete: Plain, reinforced prestressed. Construction Press, London, England.
34.
Nilsen, A. U., and Monteiro, P. J. M.(1993). “Concrete: A three phase material.”Cement and Concrete Res., 23, 147–151.
35.
Perrin, B., et al. (1972). “Existence d'une auréole de transition entre les granulats d'un mortier ou d'un béton et la masse de le pâte de ciment hydraté. Conséquences sur le comportement mécanique.”Comptes rendus de l'Académie des sciences, Paris, France, 275, 1497–1568 (in French).
36.
Popovics, S. (1986). “A model for deformations of two-phase composites under load.”Proc., Int. Symp. on Creep and Shrinkage of Concrete: Math. Modeling (RILEM), Z. P. Bažant, ed., Northwestern Univ., Evanston, Ill., 733–742.
37.
Simeonov, P., and Ahmad, S. H.(1995). “Effect of transition zone on the elastic behavior of cement based composites.”Cement and Concrete Res., 25, 165–176.
38.
Thelandersson, S., Martensson, A., and Dahlblom, O.(1988). “Tension softening and cracking in drying concrete.”Mat. and Struct., Paris, France, 21, 416–424.
39.
Tighiouart, B., Benmokrane, B., and Baalbaki, W. (1994). “Caractéristiques mécaniques et élastiques de bétons à haute performance confectionés avec différents types de gros granulats.”Mat. and Struct., Paris, France, 27, 211–221 (in French).
40.
Ward, M. A., Neville, A. M., and Singh, S. P.(1969). “Creep of air entrained concrete.”Mag. of Concrete Res., 21(69), 205–210.
41.
Wittmann, F. H., and Roelfstra, P. E.(1980). “Total deformation of loaded drying concrete.”Cement and Concrete Res., 10, 601–610.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 124Issue 9September 1998
Pages: 959 - 965

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Published online: Sep 1, 1998
Published in print: Sep 1998

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Authors

Affiliations

Sandeep Baweja
Grad. Res. Asst., Dept. of Civ. Engrg., Northwestern Univ., Evanston, IL 60208; currently Sr. Software Engr., EA Systems, Alameda, CA. E-mail: [email protected].
George J. Dvorak, Fellow, ASCE
William Howard Hart Prof. of Mech., Rensselaer Polytechnic Inst., Troy, New York, NY 12180. E-mail: [email protected].
Zdeněk P. Bažant, Fellow, ASCE
Walter P. Murphy Prof. of Civ. Engrg. and Mat. Sci., Northwestern Univ., Evanston, IL. E-mail: [email protected].

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